1063152000 has 512 divisors, whose sum is σ = 4124390400. Its totient is φ = 268646400.

The previous prime is 1063151987. The next prime is 1063152019. The reversal of 1063152000 is 2513601.

1063152000 is a `hidden beast` number, since 10 + 631 + 5 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×1063152000² = 2260584350208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9935947 + ... + 9936053.

It is an arithmetic number, because the mean of its divisors is an integer number (8055450).

Almost surely, 2^1063152000 is an apocalyptic number.

1063152000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1063152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062195200).

1063152000 is an abundant number, since it is smaller than the sum of its proper divisors (3061238400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1063152000 is a wasteful number, since it uses less digits than its factorization.

1063152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1063152000 is about 32606.0117156331. The cubic root of 1063152000 is about 1020.6224574368.

Adding to 1063152000 its reverse (2513601), we get a palindrome (1065665601).

The spelling of 1063152000 in words is "one billion, sixty-three million, one hundred fifty-two thousand".